# Waveguides · Electromagnetics · GATE ECE

Start Practice## Marks 1

GATE ECE 2022

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of 10$$-$$4 cm, with air as the dielectric. Assume the speed...

GATE ECE 2014 Set 3

Consider an air filled rectangular waveguide with a cross-section of $$5\,\,cm\,\, \times \,\,3\,cm$$. For this waveguide, the cut-off frequency (in M...

GATE ECE 2011

The modes in a rectangular waveguide are denoted by $$T{E_{mn}}\,$$/$$T{M_{mn}}\,$$ where m and n are the eigen numbers along the larger and smaller d...

GATE ECE 2009

Which of the following statements is true regarding the fundamental mode of the metallic waveguides shown?
...

GATE ECE 2004

The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $$T{E_{10}}$$ mode is

GATE ECE 2002

The phase velocity for the $$T{E_{10}}$$ mode in an air-filled rectangular waveguide is

GATE ECE 2001

The phase velocity of waves propagating in a hollow metal waveguide is

GATE ECE 2001

The dominant mode in a rectangular waveguide is $$T{E_{10}}$$, because this mode has

GATE ECE 1999

Indicate which one of the following modes do NOT exist in a rectangular resonant cavity.

GATE ECE 1997

A rectangular air-filled waveguide has a cross section of $$4\,cm\,\, \times \,\,10cm$$. The minimum frequency which can propagate in the waveguide is...

GATE ECE 1994

The interior of a $${{20} \over 3}\,\,cm\,\, \times \,\,{{20} \over 4}\,\,cm$$ rectangular waveguide is completely filled with a dielectric of $${ \in...

## Marks 2

GATE ECE 2017 Set 2

Standard air filled rectangular waveguides of dimensions a = 2.29cm and b = 1.02cm are designed for radar applications. It is desired that these waveg...

GATE ECE 2016 Set 3

Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for differ...

GATE ECE 2016 Set 3

Consider an air-filled rectangular waveguide with dimensions a = 2.286cm and b = 1.016cm. At 10GHz operating frequency, the value of the propagation c...

GATE ECE 2015 Set 2

An air-filled rectangular waveguide of internal dimension $$a\,\,cm\,\, \times \,\,b\,\,cm$$ (a > b) has a cutoff frequency of 6 GHz for the domina...

GATE ECE 2015 Set 1

The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the follo...

GATE ECE 2014 Set 2

For a rectangular waveguide of internal dimensions $$a\,\, \times \,\,b$$ (a > b), the cut-off frequency for the $$T{E_{11}}$$ mode is the arithmet...

GATE ECE 2012

The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is $${H_Z} = 3\,\,\cos \,...

GATE ECE 2008

A rectangular waveguide of internal dimensions (a = 4 cm and b = 3 cm ) is to be operated in $$T{E_{11}}$$ mode. The minimum operating frequency is

GATE ECE 2007

An air-filled rectangular waveguide has inner dimensions of $$3\,cm\,\, \times \,\,2\,\,cm\,$$. The wave impedance of the $$T{E_{20}}$$ mode of propag...

GATE ECE 2007

The $$\mathop E\limits^ \to $$ field in a rectangular waveguide of inner dimensions $$a\,\, \times \,\,b$$ is given by
$$\mathop E\limits^ \to = {...

GATE ECE 2006

A rectangular waveguide having $$T{E_{10}}$$ mode as dominant mode is having a cutoff frequency of 18 GHz for the $$T{E_{30}}$$ mode. The inner broad-...

GATE ECE 2005

Which one of the following does represent the electric field lines for the $$T{E_{02}}$$ mode in the cross-section of a hollow rectangular metallic wa...

GATE ECE 2003

A rectangular metal wave guide filled with a dielectric material of relative permittivity $${\varepsilon _r} = \,4$$ has the inside dimensions $$3.0\,...

GATE ECE 2000

A rectangular waveguide has dimensions $$1\,\,cm\,\, \times \,\,0.5\,\,cm$$. Its cut-off frequency is

GATE ECE 1993

An optical fiber consists of a cylindrical dielectric rod of refractive index $$n_1$$, surrounded by another dielectric of refractive index $$n_2$$ wh...

GATE ECE 1990

Choose the correct statements.
For a wave propagating in an air filled rectangular wave guide

GATE ECE 1988

For a normal mode EM wave propagating in a hollow rectangular wave guide

GATE ECE 1987

The cut-off frequency of a waveguide depends upon

## Marks 5

GATE ECE 2002

Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by
$${E_x} = ...

GATE ECE 2002

Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by
$${E_x} = ...

GATE ECE 2002

Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TEM mode are given by
$${E_x} = ...

GATE ECE 2001

A rectangular hollow metal waveguide has dimensions a = 2.29 cm and b = 1.02 cm. Microwave power at 10 GHz is transmitted through the waveguide in the...

GATE ECE 1999

A 100 m section of an air-filled rectangular wave-guide operating in the $$T{E_{10}}$$ mode has a cross-sectional dimension of 1.071 cm $$ \times $$ 0...

GATE ECE 1998

A rectangular waveguide with inner dimensions 6 cm $$ \times $$ 3 cm has been designed for a single mode operation. Find the possible frequency range ...

GATE ECE 1998

The region between a pair of parallel perfectly conducting planes of infinite extent in the y and z directions is partially filled with a dielectric a...

GATE ECE 1996

In an air-filled rectangular waveguide, the vector electric field is given by
$$\mathop E\limits^ \to = \cos \,(20\,\pi \,y)\,\exp \,\,\left[ { - j...

GATE ECE 1995

A rectangular hollow metal waveguide is required to be so designed to propagate a 9375 MHz signal in its $$T{E_{10}}$$-mode that the guide-wavelength ...

GATE ECE 1994

A rectangular hollow metal waveguide of internal cross-section of $$7.366\,\,cm\,\, \times \,\,3.556\,cm$$ carries a 3 GHz signal in the $$T{E_{10}}$$...

## Marks 8

GATE ECE 1988

A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3.
(i) Determine the cutoff f...

GATE ECE 1988

A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3.
(i) Determine the cutoff f...

## Marks 10

GATE ECE 1989

Design a rectangilar hollow metal waveguide to operate in the X-band such that at an operating free-space wavelength of 3.2 cm
(a) The guide-waveleng...